Holomorphic tensors and vector bundles on projective varieties

F. A. Bogomolov

doi:10.1070/IM1979v013n03ABEH002076

Holomorphic tensors and vector bundles on projective varieties

F. A. Bogomolov

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper we study vector bundles on varieties of dimension greater than one. To do this, we apply the theory of equivariant model maps developed in the paper. We prove a topological criterion for the unstability of a vector bundle on a projective surface. Using this estimate and the closedness of holomorphic forms on projective varieties we prove the inequality for the Chern classes of a surface of general type. Bibliography: 39 titles.

Original language	English (US)
Pages (from-to)	499-555
Number of pages	57
Journal	Mathematics of the USSR - Izvestija
Volume	13
Issue number	3
DOIs	https://doi.org/10.1070/IM1979v013n03ABEH002076
State	Published - Jun 30 1979

ASJC Scopus subject areas

General Mathematics

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10.1070/IM1979v013n03ABEH002076

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Holomorphic tensors and vector bundles on projective varieties

Abstract

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